260/104 as a Decimal and Mixed Number

260/104 as a decimal and mixed number expansion provides the detailed information about what is 260/104 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

260/104 as a Decimal
260/104 = 2.5
Hence,
260/104 as a decimal equals to 2.5
where,
260/104 is a given fraction,
The decimal expansion of 260/104 is 2.5

260/104 as a Mixed Number
260/104 = (208 + 52)/104
= 208/104 + 52/104
= 2 + 52/104
= 2 52/104
260/104 = 2 52/104

Hence,
260/104 as a mixed number is 2 ⁵²/₁₀₄
where,
260/104 is a given fraction,
2 ⁵²/₁₀₄ is the mixed number representation of 260/104.

The below work with steps provide the detailed information about how to convert fraction 260/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 260/104

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 260/104.

step 2 The numerator is greater than the denominator of the fraction 260/104, so write the given fraction in the expression form in terms of denominator as like the below:
= 260/104
= 208 + 52/104
= (2 x 104) + 52/104

step 3 Make the above expression as individual fractions:
= (2 x 104)/104 + 52/104

step 4 Simplify the above expression:
= 2 x 104/104 + 52/104
= 2 + 52/104
= 2 + 1 x 52/2 x 52
= 2 + 1/2
2 + 1/2 can be written as a mixed number 2 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (1/2 x 5/5)
= 2 + 5/10

step 6 Simplify the above expression further:
= 2 + 0.5
= 2.5
260/104 = 2.5

Hence,
260/104 as a decimal is 2.5
260/104 as a mixed number is 2 ¹/₂